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» Short and Smooth Polygonal Paths
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CORR
2007
Springer
100views Education» more  CORR 2007»
13 years 5 months ago
Unfolding Convex Polyhedra via Quasigeodesics
We show that cutting shortest paths from every vertex of a convex polyhedron to a simple closed quasigeodesic, and cutting all but a short segment of the quasigeodesic, unfolds th...
Jin-ichi Itoh, Joseph O'Rourke, Costin Vîlcu
IROS
2006
IEEE
94views Robotics» more  IROS 2006»
13 years 11 months ago
Spline-Based Robot Navigation
— This paper offers a path planning algorithm based on splines. The sought path avoids the obstacles, and is smooth and short. Smoothing is used as an integral part of the algori...
Evgeni Magid, Daniel Keren, Ehud Rivlin, Irad Yavn...
ICRA
2007
IEEE
188views Robotics» more  ICRA 2007»
13 years 11 months ago
The Corridor Map Method: Real-Time High-Quality Path Planning
— A central problem in robotics is planning a collision-free path for a moving object in an environment with obstacles. Contemporary applications require a path planner that is f...
Roland Geraerts, Mark H. Overmars
COMPGEOM
2005
ACM
13 years 7 months ago
Curvature-bounded traversals of narrow corridors
We consider the existence and efficient construction of bounded curvature paths traversing constant-width regions of the plane, called corridors. We make explicit a width threshol...
Sergey Bereg, David G. Kirkpatrick
FOCS
1991
IEEE
13 years 8 months ago
Walking an Unknown Street with Bounded Detour
A polygon with two distinguished vertices, s and g, is called a street iff the two boundary chains from s to g are mutually weakly visible. For a mobile robot with on-board vision...
Rolf Klein